42735 ÷ 4 = 10683 R3
Alright, let's work through the division of 42735 by 4 step by step.

Step 1:
4 goes into 4 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 4 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 4

Step 2:
4 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 2 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 4

Step 3:
4 goes into 27 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 106
Subtract 24 from 27 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 4

Step 4:
4 goes into 33 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 1068
Subtract 32 from 33 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 4

Step 5:
4 goes into 15 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 10683
Subtract 12 from 15 to get 3.

The final result is 10683 with a remainder of 3.